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#include <math.h>
#include <iostream>
#include <stdio.h>
#include <complex>
#include <gsl/gsl_math.h>
#include <gsl/gsl_eigen.h>
#include <gsl/gsl_complex_math.h>
#include <gsl/gsl_complex.h>
const double E0v=-0.8,g1=6.98,g2=2.06,g3=2.93,h=0;
using namespace std;
complex<double> getPk(double kx,double ky,double kz)
{
complex<double> Pk;
Pk.real(h*g1*(pow(kx,2)+pow(ky,2)+pow(kz,2))-E0v);
Pk.imag(0);
return Pk;
}
complex<double> getQk(double kx,double ky,double kz)
{
complex<double> Qk;
Qk.real(h*g2*(pow(kx,2)+pow(ky,2)-2*pow(kz,2)));
Qk.imag(0);
return Qk;
}
complex<double> getRk(double kx,double ky,double kz)
{
complex<double> Rk;
Rk.real(-sqrt(3)*h*g2*(pow(kx,2)-pow(ky,2)));
Rk.imag(2*sqrt(3)*h*g3*kx*ky);
return Rk;
}
complex<double> getSk(double kx,double ky,double kz)
{
complex<double> Sk;
Sk.real(2*sqrt(3)*h*g3*kx*kz);
Sk.imag(2*sqrt(3)*h*g3*ky*kz);
return Sk;
}
int main()
{
complex<double> i(0.,1.0);
double kx=0,ky=0;
double kz=0;
complex<double>H[4][4];
H[0][0]=getPk(kx,ky,kz)+getQk(kx,ky,kz);
H[1][0]=-conj(getSk(kx,ky,kz));
gsl_eigen_hermv_workspace * w= gsl_eigen_hermv_alloc (4);
gsl_eigen_hermv_free (w);
gsl_matrix_complex *A;
gsl_vector *eval = gsl_vector_alloc(4);
gsl_matrix_complex *evec=gsl_matrix_complex_alloc(4,4);
for(int i=0;i<4;i++)
{
for(int j=0;j<4;j++)
{
gsl_complex z;
GSL_SET_REAL(&z,real(H[i][j]));
GSL_SET_IMAG(&z,imag(H[i][j]));
gsl_matrix_complex_set (A, i, j, z);
}
}
gsl_eigen_hermv (A,eval,evec,w);
gsl_eigen_hermv_sort (eval, evec, GSL_EIGEN_SORT_VAL_ASC);
}
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